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9168125940 = 22345107227233
BaseRepresentation
bin10001000100111011…
…00111111111110100
3212122221110001110000
420202131213333310
5122234020012230
64113424431300
7443123533101
oct104235477764
925587401400
109168125940
113985193796
12193a478530
13b315575bc
1462d89baa8
15389d3bb60
hex222767ff4

9168125940 has 240 divisors, whose sum is σ = 29282565312. Its totient is φ = 2400966144.

The previous prime is 9168125929. The next prime is 9168125947. The reversal of 9168125940 is 495218619.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9168125947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39348064 + ... + 39348296.

Almost surely, 29168125940 is an apocalyptic number.

9168125940 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9168125940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641282656).

9168125940 is an abundant number, since it is smaller than the sum of its proper divisors (20114439372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9168125940 is a wasteful number, since it uses less digits than its factorization.

9168125940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9168125940 is about 95750.3312788003. The cubic root of 9168125940 is about 2092.9564426099.

The spelling of 9168125940 in words is "nine billion, one hundred sixty-eight million, one hundred twenty-five thousand, nine hundred forty".